"I also think measures of price inflation are almost useless over the long run, because a person today consumes a very different bundle of goods than one in, say, 1950." I agree with this wholeheartedly. How do we put a value on the fact that, for the cost of no more than a day's labor, most in the US can have a handheld device with access to nearly the sum total of the world's knowledge and entertainment? No one, at…
Sure you can have the entire worlds information and entertainment at your fingertips with a $50 smartphone, but if you can't afford to have a roof over your head I'd argue the smartphone is irrelevant. I don't think we should be including basic necessities alongside improvements in entertainment in the same statistic, because it will just hide problems.
A cheap phone is vastly cheaper than rent. It's tiresome to see people online act like "If only you would not extravagantly piss away $7/month on a phone, you would be back in housing!!!"
Internet access and a phone number are essential for job hunting and an earned income is a common means to get off the street. You can also do online banking and other essential things much easier than dealing with going in person on foot to the bank and so forth.